Answers
Answer:
option C, x=1
Step-by-step explanation:
[tex]2^{9x-3} = 8^{3-x}[/tex]
[tex]2^{9x-3} = (2^3)^{3-x}[/tex]
[tex]2^{9x-3} = 2^{9-3x}[/tex]
cut 2 from LHS and RHS you will get,
9x-3 = 9-3x
9x + 3x = 9 + 3
12x = 12
x = 12/12
x = 1
therefore, option C is the correct option
hope it helps you!
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{x = 1}}}}[/tex]
Option C is correct.
Step-by-step explanation:
[tex] \text{First ,\: let's \: know \: about \: exponential \: equation} : [/tex]
Exponential EquationAn equation in which variables appears as an exponent of a base is known as exponential equation. The following axioms are useful while solving the exponential equations :
If [tex] \sf{ {a}^{x} = {a}^{b} }[/tex] , then x = bIf aˣ = 1 , then aˣ = a⁰ and x = 0Thus , while solving an exponential equation, we should simplify the equation till the equation is obtained in the form [tex] \sf{ {a}^{x} = {a}^{b}} [/tex] or aˣ = 1 .
Now, let's start to solve :
[tex] \sf{ {2}^{(9x - 3)} = {8}^{( 3 - x)}} [/tex]
➸ [tex] \sf{ {2}^{9x - 3} = {2}^{3(3 - x)} }[/tex]
➸ [tex] \sf{ {2}^{9x - 3} = {2}^{9 - 3x}} [/tex]
➸ [tex] \sf{ \cancel{2} ^{ \: 9x - 3} = \cancel{2} ^{ \: 9 - 3x} }[/tex]
➸ [tex] \sf{9x - 3 = 9 - 3x}[/tex]
➸ [tex] \sf{9x + 3x = 9 + 3}[/tex]
➸ [tex] \sf{12x = 12}[/tex]
➸ [tex] \sf{ \frac{12x}{12} = \frac{12}{12}} [/tex]
➸ [tex] \boxed{ \sf{x = 1}}[/tex]
The value of x is 1 .
Hope I helped!
Best regards! :D
~[tex] \text{TheAnimeGirl}[/tex]
Related Questions
If f(x)=5x+2 and g(x)=x-1 what is f(g(4))
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For every pound a company spends on advertising, it spends £0.51 on its website. Express the amount spent on advertising to its website as a ratio in its simplest form.
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Answer:
I think it is 0.51? (I am complety off aren't I/)
Step-by-step explanation:
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Answer:
-23
Step-by-step explanation:
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Answer:
B.-23
Step-by-step explanation:
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Over the course of 4 months, Spiffy the dog lost 36 pounds. What integer represents his loss per month?
Answers
Answer:
-9 pounds / month
Step-by-step explanation:
A loss of 36 pounds is a negative number
-36
Divide by the number of months
-36 pounds / 4 months
-9 pounds / month
Divide total loss by number of months:
36 pounds / 4 months = 9 pounds per month.
Because it lost weight the integer would be negative 9 (-9)
A. What’s 0.9333.... as a fraction?
Answers
Answer:
0.9333=9333/1000
Step-by-step explanation:
0.9333=0.9333/1
0.9333/1*1000/1000
=9333/1000
What are the distances in feet covered in for step 6 steps twelve steps and 30 steps type your answer in the table. I need answers asap.
Answers
Answer:
instantly Converts Feet to Steps and Many More Length Conversions Online. ... 1 Step: The distance covered by a single step assuming a stride length of 0.762 meters or 2.5 feet. Although stride length ... 6 Feet to Steps = 2.4, 300 Feet to Steps = 120. 7 Feet to ... 30 Feet to Steps = 12, 1,000 Feet to Steps = 400. 40 Feet
Step-by-step explanation:
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Match the following definitions with their word
Answers
Answer:
A: law
B: The opposite of a number is its additive inverse. The sum of a number and its opposite is zero. (This is sometimes called the property of opposites ).
C: To add integers having the same sign, keep the same sign and add the absolute value of each number. To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.
Step-by-step explanation:
I hope this helps. :)
Suppose Sine (x) = four-fifths and cos(x) < 0. What is the value of cos(2x)?
Negative StartFraction 14 Over 25 EndFraction
Negative StartFraction 7 Over 25 EndFraction
StartFraction 7 Over 25 EndFraction
StartFraction 14 Over 25 EndFraction
Answers
Answer:
B.-7/25
Step-by-step explanation:
edge
The required value of cos(2x) is -7/25. Option B is correct.
sinx = 4/5
cosx < 0
Trigonometry is the study of angles in mathematics.
Here,
cos(2x) = 1-2sin²x
= 1 - 2 x 4²/5²
= 1 - 32/25
cos(2x) = -7/25
Thus, the required value of cos(2x) is -7/25.
Learn more about trigonometry here:
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10. Write the fraction 9/50 as a decimal. If
necessary, round your answer to the nearest
hundredth.
A 0.28
© 0.5
B 0.18
D 0.09
Answers
Answer:
0.18
Step-by-step explanation:
9/50 is the same as 18/100, we know this because if we multiply both 9 and 50 by 2, it gives us 18/100. 18/100 can be turned into the decimal, 0.18, so your answer is 0.18
I hope this helps :)
Can someone help me with this
Answers
answer my question plz im really stuck on it plz!
Answers
Answer:
c
Step-by-step explanation:not sure if im right
Answer:
E. $1,120
Step-by-step explanation:
house payment and utilities altogether takes up 35% of the family's monthly budget. 0.35•3200=1120.
Renee used the values in the table to calculate simple interest.
Principal $750
Interest rate ?
Time 11 years
Interest $412.50
Which interest rate is missing from Renee’s table?
Answers
Question:
Which interest rate is missing from Renee’s table?
Answer:
Principal- $750
Interest Rate- $00.5
Time- 11 yrs. (Years)
Interest- $412.50
Explanation:
To calculate your interest rate, you need to know the interest formula I/Pt = r to get your rate. ...
I = Interest amount paid in a specific time period (month, year etc.)
P = Principle amount (the money before interest)
t = Time period involved.
r = Interest rate in decimal.
Therefore we get an answer of $00.5
Answer:
c
Step-by-step explanation:
-6(2x-3)=-2(8x-1)
Helpp
Answers
Answer:
-4
Step-by-step explanation:
-12x+18=-16x+2
+16x +16x
4x+18=2
-18 -18
4x=-16
/4 /4
x=-4
Answer:
x=‒4
Step-by-step explanation:
‒6(2x‒3)=‒2(8x‒1)
‒12x+18=‒16x+2
‒12x+16x=2‒18
4x=‒16
4x/4=‒16/4
x=‒4
i hope it helps you.
7
8 change the fractions to decimals. Round to the nearest thousandth
Answers
hope it helps!!
© MP.1 Make Sense and Persevere
The Environmental Club's goal is to collect
9,525 cans by the end of four months. How
can you find the number of cans the club
needs to collect in September to meet their
goal? How many more cans do they need?
Month
DATA
June
July
Augusthow many more cans did they need
Answers
Answer:
[tex]September = 2697[/tex]
Step-by-step explanation:
Given
[tex]June = 1,898[/tex]
[tex]July = 2,643[/tex]
[tex]August = 2,287[/tex]
[tex]Expected = 9,525[/tex]
Required
Number of cans in September
First, we need to determine the total collected can from July to August.
[tex]Total = 1898 + 2643 + 2287[/tex]
[tex]Total = 6828[/tex]
September is then calculated as follows:
[tex]September = 9525 - 6828[/tex]
[tex]September = 2697[/tex]
Hence:
2697 cans are still needed
August hosted to dinner parties for his friends. Twenty guests attended the first party, and thirty-one guests attended the second party. What is the percentage increase of the number of guests from the first party to the second party? OA 40% О B. 60% C. 45% OD 55%
Answers
Answer:
The answer is D.
Step-by-step explanation:
First, you have to find the differences in number of guests in this 2 party :
[tex]31 - 20 = 11 \: guests[/tex]
Next, you have to divide by the smaller value which is the first party, then, multiply by 100 as the question wants percentage increase :
[tex] \frac{11}{20} \times 100 = 55\%[/tex]
3. A Fahrenheit thermometer reads 63°F. If the temperature increases 10°F, to the nearest degree, what is the new temperature C, in degrees Celsius?
Answers
Formula to convert F to C:
(F -32) x 5/9
F = 63 + 10 = 73
73-32 = 41
41 x 5/9 = 22.77777
Rounded to the nearest degree = 23 C
Answer: 63 +10 =73 then you have to round it right
it would be 70 degrees Celsius
Step-by-step explanation:
it would be rounded to 70 because 73 cant be round to 80 the 3 is ot higher than 5
Help ya girl out with this one please ASAP <3
Answers
Answer:
x = 1
Step-by-step explanation:
6x + 6x - 7 = 5
combine like terms
12x - 7 = 5
add 7 to both sides of the equation
12x - 7 + 7 = 5 + 7
12x = 12
divide both sides of the equation by 12
12x/12 = 12/12
x = 1
Answer:
x=1
Step-by-step explanation:
The attachement below.
*Remember: This is combining like-terms and solving 2-step equations*
Having chosen to use a survey to obtain descriptive data on consumers and their drink preferences, you now need to decide how to contact consumers. You want to gather a large quantity of data fairly quickly, while not incurring high costs. How will you collect this data?
Answers
Answer:
Telephone interview, emails
Step-by-step explanation:
From the question you are trying To minimize cost in the collection of the survey data. To do this, we can use either phone interviews or emails. Using telephone methods have high rates of response and we can easily gather responses. It also gives an opportunity to answer any question respondents may have. Email surveys gives an opportunity for respondent's to share more sensitive details and also respond at their own time.
what is 5.6+2.2x>65.6-1.8x
Answers
Answer: x>15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x
>
15
Interval Notation:
(
15
,
∞
)
What is the value of x?
Answers
Answer: 30
Step-by-step explanation:
A bar of steel 340 cm long
Answers
Answer:
ok, and?
Step-by-step explanation:
helppp pleasee (picture included)
Answers
Answer:
It's D
Step-by-step explanation:
Each of 12 refrigerators of a certain type has been returned to a distributor because of an audible, highpitched, oscillating noise when the refrigerators are running. Suppose that 7 of these refrigerators have a defective compressor and the other 5 have less serious problems. If the refrigerators are examined in random order, let X be the number among the first 6 examined that have a defective compressor. What is the probability that X exceeds its mean valueby more than 1 standard deviation?
Answers
Answer:
0.121
Step-by-step explanation:
From the given information:
Let X be a hypergeometric random variable. i.e X [tex]\sim[/tex] h (x;:6,7,12)
To determine the mean and the standard deviation of X of a hypergeometric random variable; we have:
[tex]\mu_x = E(X)[/tex]
[tex]\mu_x = 6 \times \dfrac{7}{12}[/tex]
[tex]\mu_x =1 \times \dfrac{7}{2}[/tex]
[tex]\mu_x =3.5[/tex]
The standard deviation is :
[tex]\sigma _x = \sqrt{(\dfrac{12-6}{12-1}) \times 6 \times (\dfrac{7}{12})\times (1-\dfrac{7}{12})}[/tex]
[tex]\sigma _x = \sqrt{(\dfrac{6}{11}) \times 6 \times (\dfrac{7}{12})\times (\dfrac{5}{12})}[/tex]
[tex]\sigma _x = \sqrt{\dfrac{35}{44}}[/tex]
[tex]\sigma _x = 0.892[/tex]
However, the inequality for the event showcasing how X exceeds its mean value by more than 1 standard deviation is :
[tex]X \geq \mu_x +\sigma_x[/tex]
[tex]X \geq 3.5 +0.892[/tex]
[tex]X \geq 4.392[/tex]
[tex]X \geq 5[/tex]
∴
[tex]P(X \geq \mu_x + \sigma_x ) = P(X \geq 5)[/tex]
[tex]P(X \geq \mu_x + \sigma_x ) = 0.121[/tex]
HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME
Answers
Answer:
No.
Step-by-step explanation:
We will figure this out using subtraction.
96-24=72
112-28= 84
Simplified:
72/9= 8
84/9=9.33
So, no. They are not equivalent. Also is there any context?
Answer:
what you need help with
Step-by-step explanation:
which expression is equivalent to 5m+m+2m
Answers
Answer: 8m
Step-by-step explanation:
5+1+2=8
Answer:
7m + m
Step-by-step explanation:
If you combine like terms, your final answer would be 8m. However, you said you wanted an expression so 7m + m would be an equivalent one. 8m is a term, not an expression.
Blank to division problems must be interpreted correctly to answer real life problems.
Answers
Answer:
i agree
Step-by-step explanation:
Answer:
possibly " remainders "
Step-by-step explanation:
hope this helps <3
A team of college administartors caputured and atgged a group of 90 fraternity men and then returned them to the universiry campus. Later a group of soroity women wishing to stimate the amount of fraternity men on campus caputred 215 men and found they were tagged. How many frat men would they stimate that were on campus
Answers
Answer:
125
Step-by-step explanation:
The college administrators captured the 90 fraternity men and tagged them, then they returned them to the university campus.
Let there were x tagged fraternity men already on the university campus, so, the total number of tagged fraternity men on the campus become x+90.
Later a group of sorority women captured 215 tagged men, in which the 90 tagged men added by the college administration are included.
So, x+90=215
[tex]\Rightarrow x=215-90=125.[/tex]
Hence, the number of fraternity men on the campus was 125.
r.i.p walter wallace Jr
Answers
Write the equation of a line perpendicular to 8x - 7y= -6 that passes through the point (-8,6).
The equation of the line is y=
Answers
Answer:
y= -7/8x – 1
Step-by-step explanation:
the first equation would be y= 8/7 + 6/7the perpendicular slope would be -8/7and I solved for b by plugging in what I know for y=mx+bwhich is 6= -7/8(-8) + bsimplify so 6 = 7 + bsubtract 7 on both sides to get b = -1